Least Common Multiple of 12826 and 12831
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 12826 and 12831 the smallest integer that is 164570406 that is divisible by both numbers.
Least Common Multiple (LCM) of 12826 and 12831 is 164570406.
LCM(12826,12831) = 164570406
LCM of 12826 and 12831
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 12826 and 12831 by Prime method
- Least Common Multiple of 12826 and 12831 with GCF Formula
LCM of 12826 and 12831 is 164570406
Least common multiple can be found by multiplying the highest exponent prime factors of 12826 and 12831. First we will calculate the prime factors of 12826 and 12831.
Prime Factorization of 12826
| 2 | 12826 |
| 11 | 6413 |
| 11 | 583 |
| 53 | 53 |
| 1 |
Prime factors of 12826 are 2, 11,53. Prime factorization of 12826 in exponential form is:
12826 = 21×112×531
Prime Factorization of 12831
| 3 | 12831 |
| 7 | 4277 |
| 13 | 611 |
| 47 | 47 |
| 1 |
Prime factors of 12831 are 3, 7, 13,47. Prime factorization of 12831 in exponential form is:
12831 = 31×71×131×471
Now multiplying the highest exponent prime factors to calculate the LCM of 12826 and 12831.
LCM(12826,12831) = 21×31×71×112×131×471×531
LCM(12826,12831) = 164570406
Factors of 12826
List of positive integer factors of 12826 that divides 12826 without a remainder.
1, 2, 11, 22, 53, 106, 121, 242, 583, 1166, 6413, 12826
Factors of 12831
List of positive integer factors of 12831 that divides 12831 without a remainder.
1, 3, 7, 13, 21, 39, 47, 91, 141, 273, 329, 611, 987, 1833, 4277, 12831
Least Common Multiple of 12826 and 12831 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12826 and 12831, than apply into the LCM equation.
GCF(12826,12831) = 1
LCM(12826,12831) = ( 12826 × 12831) / 1
LCM(12826,12831) = 164570406 / 1
LCM(12826,12831) = 164570406
Properties of LCM 12826 and 12831
(i) The LCM of 12831 and 12826 is associative
LCM of 12826 and 12831 = LCM of 12831 and 12826
Related Least Common Multiples of 12826
Related Least Common Multiples of 12831
Frequently Asked Questions on LCM of 12826 and 12831
1. What is the LCM of 12826 and 12831?
Answer: LCM of 12826 and 12831 is 164570406.
2. What are the Factors of 12826?
Answer: Factors of 12826 are 1, 2, 11, 22, 53, 106, 121, 242, 583, 1166, 6413, 12826. There are 12 integers that are factors of 12826. The greatest factor of 12826 is 12826.
3. What are the Factors of 12831?
Answer: Factors of 12831 are 1, 3, 7, 13, 21, 39, 47, 91, 141, 273, 329, 611, 987, 1833, 4277, 12831. There are 16 integers that are factors of 12831. The greatest factor of 12831 is 12831.
4. How to Find the LCM of 12826 and 12831?
Answer:
Least Common Multiple of 12826 and 12831 = 164570406
Step 1: Find the prime factorization of 12826
12826 = 2 x 11 x 11 x 53
Step 2: Find the prime factorization of 12831
12831 = 3 x 7 x 13 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 164570406 = 2 x 3 x 7 x 11 x 11 x 13 x 47 x 53
Step 4: Therefore, the least common multiple of 12826 and 12831 is 164570406.